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3-2.Motion in Plane
easy
Two bodies of mass $10 \,kg$ and $5 \,kg$ moving in concentric orbits of radii $R$ and $r$ such that their periods are the same. Then the ratio between their centripetal acceleration is
A$R/r$
B$r/R$
C${R^2}/{r^2}$
D${r^2}/{R^2}$
Solution
(a)$\frac{{{a_R}}}{{{a_r}}} = \frac{{\omega _R^2 \times R}}{{\omega _r^2 \times r}} = \frac{{T_r^2}}{{T_R^2}} \times \frac{R}{r} = \frac{R}{r}$ $[As\, T_r = T_R]$
Standard 11
Physics
